The students sold children's ticket for $30 per ticket and adult tickets for $40 for a total of $930. Write an equation for the scenario and determine the x and y intercept.
X = # of children's tickets sold.
Y = # of adult tickets sold.
30x + 40y = 930
Replace Y with 0:
30x + 40*0 = 930
X = 31 = X-Int.
Replace X with 0:
30*0 + 40y = 930
Y = 23.25 = Y-Int.
To write an equation for this scenario, let's first assign variables to the unknowns. Let's say x represents the number of children's tickets sold and y represents the number of adult tickets sold.
The first piece of information we have is that the students sold children's tickets for $30 per ticket. So the revenue from the children's tickets would be 30x.
The second piece of information is that the students sold adult tickets for $40 per ticket. So the revenue from the adult tickets would be 40y.
The total revenue from both types of tickets is given as $930. Therefore, we can set up the following equation:
30x + 40y = 930
This equation represents the scenario.
To find the x-intercept, we need to set y = 0 and solve for x. This means we are looking for the number of children's tickets sold when no adult tickets are sold.
30x + 40(0) = 930
30x = 930
x = 930/30
x = 31
So the x-intercept is 31, which means that when no adult tickets are sold, 31 children's tickets are sold.
To find the y-intercept, we need to set x = 0 and solve for y. This means we are looking for the number of adult tickets sold when no children's tickets are sold.
30(0) + 40y = 930
40y = 930
y = 930/40
y = 23.25
Since it's not possible to sell a fraction of a ticket, we can round up the y-intercept to the nearest whole number. Therefore, the y-intercept is 24, which means that when no children's tickets are sold, 24 adult tickets are sold.